ProShares Ultra Dow30 (DDM)

TotalReturn:

'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

• Looking at the total return, or performance of 102.6% in the last 5 years of ProShares Ultra Dow30, we see it is relatively larger, thus better in comparison to the benchmark SPY (90.2%)
• During the last 3 years, the total return, or increase in value is 89.7%, which is larger, thus better than the value of 79.5% from the benchmark.

CAGR:

'The compound annual growth rate isn't a true return rate, but rather a representational figure. It is essentially a number that describes the rate at which an investment would have grown if it had grown the same rate every year and the profits were reinvested at the end of each year. In reality, this sort of performance is unlikely. However, CAGR can be used to smooth returns so that they may be more easily understood when compared to alternative investments.'

• The annual performance (CAGR) over 5 years of ProShares Ultra Dow30 is 15.2%, which is greater, thus better compared to the benchmark SPY (13.8%) in the same period.
• During the last 3 years, the compounded annual growth rate (CAGR) is 24%, which is greater, thus better than the value of 21.7% from the benchmark.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• Compared with the benchmark SPY (17%) in the period of the last 5 years, the volatility of 29.3% of ProShares Ultra Dow30 is larger, thus worse.
• Compared with SPY (15.1%) in the period of the last 3 years, the volatility of 26.6% is higher, thus worse.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Looking at the downside risk of 20.3% in the last 5 years of ProShares Ultra Dow30, we see it is relatively larger, thus worse in comparison to the benchmark SPY (11.7%)
• During the last 3 years, the downside deviation is 17.9%, which is larger, thus worse than the value of 10.1% from the benchmark.

Sharpe:

'The Sharpe ratio was developed by Nobel laureate William F. Sharpe, and is used to help investors understand the return of an investment compared to its risk. The ratio is the average return earned in excess of the risk-free rate per unit of volatility or total risk. Subtracting the risk-free rate from the mean return allows an investor to better isolate the profits associated with risk-taking activities. One intuition of this calculation is that a portfolio engaging in 'zero risk' investments, such as the purchase of U.S. Treasury bills (for which the expected return is the risk-free rate), has a Sharpe ratio of exactly zero. Generally, the greater the value of the Sharpe ratio, the more attractive the risk-adjusted return.'

• The ratio of return and volatility (Sharpe) over 5 years of ProShares Ultra Dow30 is 0.43, which is smaller, thus worse compared to the benchmark SPY (0.66) in the same period.
• Looking at ratio of return and volatility (Sharpe) in of 0.81 in the period of the last 3 years, we see it is relatively lower, thus worse in comparison to SPY (1.27).

Sortino:

'The Sortino ratio improves upon the Sharpe ratio by isolating downside volatility from total volatility by dividing excess return by the downside deviation. The Sortino ratio is a variation of the Sharpe ratio that differentiates harmful volatility from total overall volatility by using the asset's standard deviation of negative asset returns, called downside deviation. The Sortino ratio takes the asset's return and subtracts the risk-free rate, and then divides that amount by the asset's downside deviation. The ratio was named after Frank A. Sortino.'

• Looking at the ratio of annual return and downside deviation of 0.63 in the last 5 years of ProShares Ultra Dow30, we see it is relatively lower, thus worse in comparison to the benchmark SPY (0.96)
• Looking at ratio of annual return and downside deviation in of 1.2 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.9).

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Compared with the benchmark SPY (8.42 ) in the period of the last 5 years, the Downside risk index of 14 of ProShares Ultra Dow30 is higher, thus worse.
• During the last 3 years, the Ulcer Index is 7.67 , which is higher, thus worse than the value of 3.4 from the benchmark.

MaxDD:

'A maximum drawdown is the maximum loss from a peak to a trough of a portfolio, before a new peak is attained. Maximum Drawdown is an indicator of downside risk over a specified time period. It can be used both as a stand-alone measure or as an input into other metrics such as 'Return over Maximum Drawdown' and the Calmar Ratio. Maximum Drawdown is expressed in percentage terms.'

• The maximum drop from peak to valley over 5 years of ProShares Ultra Dow30 is -40.2 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -31.6 days, which is smaller, thus worse than the value of -18.8 days from the benchmark.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

• The maximum days below previous high over 5 years of ProShares Ultra Dow30 is 517 days, which is larger, thus worse compared to the benchmark SPY (488 days) in the same period.
• Compared with SPY (87 days) in the period of the last 3 years, the maximum time in days below previous high water mark of 195 days is higher, thus worse.

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• The average time in days below previous high water mark over 5 years of ProShares Ultra Dow30 is 137 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• During the last 3 years, the average days under water is 40 days, which is greater, thus worse than the value of 19 days from the benchmark.